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Finding the Fourth Proportional to 647,603.40, 970,368.30 and 410,521.80

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Solution

The fourth proportional to 647,603.40, 970,368.30 and 410,521.80 is: 615,125.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,603.40 : 970,368.30 = 410,521.80 : x
  2. Step 2: Convert to fraction form
    647,603.40/970,368.30 = 410,521.80/x
  3. Step 3: Cross multiply
    647,603.40x = 970,368.30 × 410,521.80
  4. Step 4: Simplify right side
    647,603.40x = 398,357,341,178.94
  5. Step 5: Solve for x
    x = 398,357,341,178.94/647,603.40
  6. Step 6: Final answer
    x = 615,125.46

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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.