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Finding the Fourth Proportional to 284,488.25, 392,598.83 and 157,156.25

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Solution

The fourth proportional to 284,488.25, 392,598.83 and 157,156.25 is: 216,878.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,488.25 : 392,598.83 = 157,156.25 : x
  2. Step 2: Convert to fraction form
    284,488.25/392,598.83 = 157,156.25/x
  3. Step 3: Cross multiply
    284,488.25x = 392,598.83 × 157,156.25
  4. Step 4: Simplify right side
    284,488.25x = 61,699,358,307.08
  5. Step 5: Solve for x
    x = 61,699,358,307.08/284,488.25
  6. Step 6: Final answer
    x = 216,878.41

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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.