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Finding the Fourth Proportional to 284,365.89, 392,419.49 and 157,038.75

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Solution

The fourth proportional to 284,365.89, 392,419.49 and 157,038.75 is: 216,710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,365.89 : 392,419.49 = 157,038.75 : x
  2. Step 2: Convert to fraction form
    284,365.89/392,419.49 = 157,038.75/x
  3. Step 3: Cross multiply
    284,365.89x = 392,419.49 × 157,038.75
  4. Step 4: Simplify right side
    284,365.89x = 61,625,065,400.04
  5. Step 5: Solve for x
    x = 61,625,065,400.04/284,365.89
  6. Step 6: Final answer
    x = 216,710.47

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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.