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Finding the Fourth Proportional to 480,711.20, 720,848.10 and 256,013.96

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Solution

The fourth proportional to 480,711.20, 720,848.10 and 256,013.96 is: 383,904.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,711.20 : 720,848.10 = 256,013.96 : x
  2. Step 2: Convert to fraction form
    480,711.20/720,848.10 = 256,013.96/x
  3. Step 3: Cross multiply
    480,711.20x = 720,848.10 × 256,013.96
  4. Step 4: Simplify right side
    480,711.20x = 184,547,176,639.48
  5. Step 5: Solve for x
    x = 184,547,176,639.48/480,711.20
  6. Step 6: Final answer
    x = 383,904.47

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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.