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Finding the Fourth Proportional to 978,799,588.74, 1,350,872,426.97 and 587,684,206.98

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Solution

The fourth proportional to 978,799,588.74, 1,350,872,426.97 and 587,684,206.98 is: 811,081,655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,799,588.74 : 1,350,872,426.97 = 587,684,206.98 : x
  2. Step 2: Convert to fraction form
    978,799,588.74/1,350,872,426.97 = 587,684,206.98/x
  3. Step 3: Cross multiply
    978,799,588.74x = 1,350,872,426.97 × 587,684,206.98
  4. Step 4: Simplify right side
    978,799,588.74x = 793,886,390,975,012,480
  5. Step 5: Solve for x
    x = 793,886,390,975,012,480/978,799,588.74
  6. Step 6: Final answer
    x = 811,081,655.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.