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Finding the Fourth Proportional to 413,514,820.80, 620,272,231.20 and 260,459,812.80

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Solution

The fourth proportional to 413,514,820.80, 620,272,231.20 and 260,459,812.80 is: 390,689,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,514,820.80 : 620,272,231.20 = 260,459,812.80 : x
  2. Step 2: Convert to fraction form
    413,514,820.80/620,272,231.20 = 260,459,812.80/x
  3. Step 3: Cross multiply
    413,514,820.80x = 620,272,231.20 × 260,459,812.80
  4. Step 4: Simplify right side
    413,514,820.80x = 161,555,989,223,390,336
  5. Step 5: Solve for x
    x = 161,555,989,223,390,336/413,514,820.80
  6. Step 6: Final answer
    x = 390,689,719.20

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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.