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Finding the Fourth Proportional to 1,017,148, 1,403,729.90 and 564,439

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Solution

The fourth proportional to 1,017,148, 1,403,729.90 and 564,439 is: 778,962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,148 : 1,403,729.90 = 564,439 : x
  2. Step 2: Convert to fraction form
    1,017,148/1,403,729.90 = 564,439/x
  3. Step 3: Cross multiply
    1,017,148x = 1,403,729.90 × 564,439
  4. Step 4: Simplify right side
    1,017,148x = 792,319,901,026.10
  5. Step 5: Solve for x
    x = 792,319,901,026.10/1,017,148
  6. Step 6: Final answer
    x = 778,962.26

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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.