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Finding the Fourth Proportional to 540,702.92, 745,870.74 and 314,323.40

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Solution

The fourth proportional to 540,702.92, 745,870.74 and 314,323.40 is: 433,592.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,702.92 : 745,870.74 = 314,323.40 : x
  2. Step 2: Convert to fraction form
    540,702.92/745,870.74 = 314,323.40/x
  3. Step 3: Cross multiply
    540,702.92x = 745,870.74 × 314,323.40
  4. Step 4: Simplify right side
    540,702.92x = 234,444,626,957.32
  5. Step 5: Solve for x
    x = 234,444,626,957.32/540,702.92
  6. Step 6: Final answer
    x = 433,592.31

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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.