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Finding the Fourth Proportional to 524,648.55, 785,343.78 and 284,165.16

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Solution

The fourth proportional to 524,648.55, 785,343.78 and 284,165.16 is: 425,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,648.55 : 785,343.78 = 284,165.16 : x
  2. Step 2: Convert to fraction form
    524,648.55/785,343.78 = 284,165.16/x
  3. Step 3: Cross multiply
    524,648.55x = 785,343.78 × 284,165.16
  4. Step 4: Simplify right side
    524,648.55x = 223,167,340,898.71
  5. Step 5: Solve for x
    x = 223,167,340,898.71/524,648.55
  6. Step 6: Final answer
    x = 425,365.40

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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.