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Finding the Fourth Proportional to 456,468.60, 684,702.90 and 330,497.40

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Solution

The fourth proportional to 456,468.60, 684,702.90 and 330,497.40 is: 495,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,468.60 : 684,702.90 = 330,497.40 : x
  2. Step 2: Convert to fraction form
    456,468.60/684,702.90 = 330,497.40/x
  3. Step 3: Cross multiply
    456,468.60x = 684,702.90 × 330,497.40
  4. Step 4: Simplify right side
    456,468.60x = 226,292,528,222.46
  5. Step 5: Solve for x
    x = 226,292,528,222.46/456,468.60
  6. Step 6: Final answer
    x = 495,746.10

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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.