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Finding the Fourth Proportional to 709,039,169.46, 978,637,312.53 and 415,778,215.86

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Solution

The fourth proportional to 709,039,169.46, 978,637,312.53 and 415,778,215.86 is: 573,869,672.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,039,169.46 : 978,637,312.53 = 415,778,215.86 : x
  2. Step 2: Convert to fraction form
    709,039,169.46/978,637,312.53 = 415,778,215.86/x
  3. Step 3: Cross multiply
    709,039,169.46x = 978,637,312.53 × 415,778,215.86
  4. Step 4: Simplify right side
    709,039,169.46x = 406,896,075,777,748,608
  5. Step 5: Solve for x
    x = 406,896,075,777,748,608/709,039,169.46
  6. Step 6: Final answer
    x = 573,869,672.23

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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.