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Finding the Fourth Proportional to 565,432.47, 780,478.65 and 362,031.21

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Solution

The fourth proportional to 565,432.47, 780,478.65 and 362,031.21 is: 499,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,432.47 : 780,478.65 = 362,031.21 : x
  2. Step 2: Convert to fraction form
    565,432.47/780,478.65 = 362,031.21/x
  3. Step 3: Cross multiply
    565,432.47x = 780,478.65 × 362,031.21
  4. Step 4: Simplify right side
    565,432.47x = 282,557,630,038.67
  5. Step 5: Solve for x
    x = 282,557,630,038.67/565,432.47
  6. Step 6: Final answer
    x = 499,719.50

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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.