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Finding the Fourth Proportional to 521,402,306.40, 732,003,962.40 and 521,402,306.40

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Solution

The fourth proportional to 521,402,306.40, 732,003,962.40 and 521,402,306.40 is: 732,003,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,402,306.40 : 732,003,962.40 = 521,402,306.40 : x
  2. Step 2: Convert to fraction form
    521,402,306.40/732,003,962.40 = 521,402,306.40/x
  3. Step 3: Cross multiply
    521,402,306.40x = 732,003,962.40 × 521,402,306.40
  4. Step 4: Simplify right side
    521,402,306.40x = 381,668,554,289,298,880
  5. Step 5: Solve for x
    x = 381,668,554,289,298,880/521,402,306.40
  6. Step 6: Final answer
    x = 732,003,962.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.