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Finding the Fourth Proportional to 291,638.50, 402,461.13 and 157,502.50

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Solution

The fourth proportional to 291,638.50, 402,461.13 and 157,502.50 is: 217,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,638.50 : 402,461.13 = 157,502.50 : x
  2. Step 2: Convert to fraction form
    291,638.50/402,461.13 = 157,502.50/x
  3. Step 3: Cross multiply
    291,638.50x = 402,461.13 × 157,502.50
  4. Step 4: Simplify right side
    291,638.50x = 63,388,634,127.83
  5. Step 5: Solve for x
    x = 63,388,634,127.83/291,638.50
  6. Step 6: Final answer
    x = 217,353.45

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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.