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Finding the Fourth Proportional to 646,871.40, 970,307.10 and 578,442.60

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Solution

The fourth proportional to 646,871.40, 970,307.10 and 578,442.60 is: 867,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,871.40 : 970,307.10 = 578,442.60 : x
  2. Step 2: Convert to fraction form
    646,871.40/970,307.10 = 578,442.60/x
  3. Step 3: Cross multiply
    646,871.40x = 970,307.10 × 578,442.60
  4. Step 4: Simplify right side
    646,871.40x = 561,266,961,722.46
  5. Step 5: Solve for x
    x = 561,266,961,722.46/646,871.40
  6. Step 6: Final answer
    x = 867,663.90

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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.