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Finding the Fourth Proportional to 257,699, 355,663.50 and 157,155.32

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Solution

The fourth proportional to 257,699, 355,663.50 and 157,155.32 is: 216,898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,699 : 355,663.50 = 157,155.32 : x
  2. Step 2: Convert to fraction form
    257,699/355,663.50 = 157,155.32/x
  3. Step 3: Cross multiply
    257,699x = 355,663.50 × 157,155.32
  4. Step 4: Simplify right side
    257,699x = 55,894,411,154.82
  5. Step 5: Solve for x
    x = 55,894,411,154.82/257,699
  6. Step 6: Final answer
    x = 216,898.05

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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.