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Finding the Fourth Proportional to 284,159.07, 392,138.71 and 156,833.75

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Solution

The fourth proportional to 284,159.07, 392,138.71 and 156,833.75 is: 216,430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,159.07 : 392,138.71 = 156,833.75 : x
  2. Step 2: Convert to fraction form
    284,159.07/392,138.71 = 156,833.75/x
  3. Step 3: Cross multiply
    284,159.07x = 392,138.71 × 156,833.75
  4. Step 4: Simplify right side
    284,159.07x = 61,500,584,409.46
  5. Step 5: Solve for x
    x = 61,500,584,409.46/284,159.07
  6. Step 6: Final answer
    x = 216,430.13

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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.