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Finding the Fourth Proportional to 284,114.62, 392,225.58 and 207,547.76

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Solution

The fourth proportional to 284,114.62, 392,225.58 and 207,547.76 is: 286,523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,114.62 : 392,225.58 = 207,547.76 : x
  2. Step 2: Convert to fraction form
    284,114.62/392,225.58 = 207,547.76/x
  3. Step 3: Cross multiply
    284,114.62x = 392,225.58 × 207,547.76
  4. Step 4: Simplify right side
    284,114.62x = 81,405,540,543.70
  5. Step 5: Solve for x
    x = 81,405,540,543.70/284,114.62
  6. Step 6: Final answer
    x = 286,523.59

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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.