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Finding the Fourth Proportional to 510,402.60, 765,767.10 and 155,484.20

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Solution

The fourth proportional to 510,402.60, 765,767.10 and 155,484.20 is: 233,276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,402.60 : 765,767.10 = 155,484.20 : x
  2. Step 2: Convert to fraction form
    510,402.60/765,767.10 = 155,484.20/x
  3. Step 3: Cross multiply
    510,402.60x = 765,767.10 × 155,484.20
  4. Step 4: Simplify right side
    510,402.60x = 119,064,684,929.82
  5. Step 5: Solve for x
    x = 119,064,684,929.82/510,402.60
  6. Step 6: Final answer
    x = 233,276.02

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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.