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Finding the Fourth Proportional to 647,271.32, 893,079.06 and 417,780

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Solution

The fourth proportional to 647,271.32, 893,079.06 and 417,780 is: 576,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,271.32 : 893,079.06 = 417,780 : x
  2. Step 2: Convert to fraction form
    647,271.32/893,079.06 = 417,780/x
  3. Step 3: Cross multiply
    647,271.32x = 893,079.06 × 417,780
  4. Step 4: Simplify right side
    647,271.32x = 373,110,569,686.80
  5. Step 5: Solve for x
    x = 373,110,569,686.80/647,271.32
  6. Step 6: Final answer
    x = 576,436.13

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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.