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Finding the Fourth Proportional to 510,498,707.60, 765,748,061.40 and 147,029,805.20

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Solution

The fourth proportional to 510,498,707.60, 765,748,061.40 and 147,029,805.20 is: 220,544,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,498,707.60 : 765,748,061.40 = 147,029,805.20 : x
  2. Step 2: Convert to fraction form
    510,498,707.60/765,748,061.40 = 147,029,805.20/x
  3. Step 3: Cross multiply
    510,498,707.60x = 765,748,061.40 × 147,029,805.20
  4. Step 4: Simplify right side
    510,498,707.60x = 112,587,788,299,919,632
  5. Step 5: Solve for x
    x = 112,587,788,299,919,632/510,498,707.60
  6. Step 6: Final answer
    x = 220,544,707.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.