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Finding the Fourth Proportional to 709,038,983.84, 978,637,056.37 and 415,778,030.24

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Solution

The fourth proportional to 709,038,983.84, 978,637,056.37 and 415,778,030.24 is: 573,869,416.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,038,983.84 : 978,637,056.37 = 415,778,030.24 : x
  2. Step 2: Convert to fraction form
    709,038,983.84/978,637,056.37 = 415,778,030.24/x
  3. Step 3: Cross multiply
    709,038,983.84x = 978,637,056.37 × 415,778,030.24
  4. Step 4: Simplify right side
    709,038,983.84x = 406,895,787,611,457,792
  5. Step 5: Solve for x
    x = 406,895,787,611,457,792/709,038,983.84
  6. Step 6: Final answer
    x = 573,869,416.05

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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.