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Finding the Fourth Proportional to 305,152.65, 457,728.98 and 288,045.45

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Solution

The fourth proportional to 305,152.65, 457,728.98 and 288,045.45 is: 432,068.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,152.65 : 457,728.98 = 288,045.45 : x
  2. Step 2: Convert to fraction form
    305,152.65/457,728.98 = 288,045.45/x
  3. Step 3: Cross multiply
    305,152.65x = 457,728.98 × 288,045.45
  4. Step 4: Simplify right side
    305,152.65x = 131,846,748,581.91
  5. Step 5: Solve for x
    x = 131,846,748,581.91/305,152.65
  6. Step 6: Final answer
    x = 432,068.18

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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.