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Finding the Fourth Proportional to 316,665.16, 474,946.71 and 139,139.08

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Solution

The fourth proportional to 316,665.16, 474,946.71 and 139,139.08 is: 208,686.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,665.16 : 474,946.71 = 139,139.08 : x
  2. Step 2: Convert to fraction form
    316,665.16/474,946.71 = 139,139.08/x
  3. Step 3: Cross multiply
    316,665.16x = 474,946.71 × 139,139.08
  4. Step 4: Simplify right side
    316,665.16x = 66,083,648,278.43
  5. Step 5: Solve for x
    x = 66,083,648,278.43/316,665.16
  6. Step 6: Final answer
    x = 208,686.20

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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.