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Finding the Fourth Proportional to 553,134.80, 828,827.40 and 463,905.20

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Solution

The fourth proportional to 553,134.80, 828,827.40 and 463,905.20 is: 695,124.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,134.80 : 828,827.40 = 463,905.20 : x
  2. Step 2: Convert to fraction form
    553,134.80/828,827.40 = 463,905.20/x
  3. Step 3: Cross multiply
    553,134.80x = 828,827.40 × 463,905.20
  4. Step 4: Simplify right side
    553,134.80x = 384,497,340,762.48
  5. Step 5: Solve for x
    x = 384,497,340,762.48/553,134.80
  6. Step 6: Final answer
    x = 695,124.12

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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.