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Finding the Fourth Proportional to 497,463.19, 686,610 and 316,139.76

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Solution

The fourth proportional to 497,463.19, 686,610 and 316,139.76 is: 436,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,463.19 : 686,610 = 316,139.76 : x
  2. Step 2: Convert to fraction form
    497,463.19/686,610 = 316,139.76/x
  3. Step 3: Cross multiply
    497,463.19x = 686,610 × 316,139.76
  4. Step 4: Simplify right side
    497,463.19x = 217,064,720,613.60
  5. Step 5: Solve for x
    x = 217,064,720,613.60/497,463.19
  6. Step 6: Final answer
    x = 436,343.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.