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Finding the Fourth Proportional to 210,463.40, 315,426.30 and 85,663.40

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Solution

The fourth proportional to 210,463.40, 315,426.30 and 85,663.40 is: 128,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,463.40 : 315,426.30 = 85,663.40 : x
  2. Step 2: Convert to fraction form
    210,463.40/315,426.30 = 85,663.40/x
  3. Step 3: Cross multiply
    210,463.40x = 315,426.30 × 85,663.40
  4. Step 4: Simplify right side
    210,463.40x = 27,020,489,307.42
  5. Step 5: Solve for x
    x = 27,020,489,307.42/210,463.40
  6. Step 6: Final answer
    x = 128,385.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.