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Finding the Fourth Proportional to 458,210.51, 687,818.57 and 364,045.98

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Solution

The fourth proportional to 458,210.51, 687,818.57 and 364,045.98 is: 546,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,210.51 : 687,818.57 = 364,045.98 : x
  2. Step 2: Convert to fraction form
    458,210.51/687,818.57 = 364,045.98/x
  3. Step 3: Cross multiply
    458,210.51x = 687,818.57 × 364,045.98
  4. Step 4: Simplify right side
    458,210.51x = 250,397,585,377.85
  5. Step 5: Solve for x
    x = 250,397,585,377.85/458,210.51
  6. Step 6: Final answer
    x = 546,468.45

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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.