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Finding the Fourth Proportional to 521,423, 719,563.74 and 282,959

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Solution

The fourth proportional to 521,423, 719,563.74 and 282,959 is: 390,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,423 : 719,563.74 = 282,959 : x
  2. Step 2: Convert to fraction form
    521,423/719,563.74 = 282,959/x
  3. Step 3: Cross multiply
    521,423x = 719,563.74 × 282,959
  4. Step 4: Simplify right side
    521,423x = 203,607,036,306.66
  5. Step 5: Solve for x
    x = 203,607,036,306.66/521,423
  6. Step 6: Final answer
    x = 390,483.42

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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.