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Finding the Fourth Proportional to 472,295.81, 651,758.54 and 257,434.00

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Solution

The fourth proportional to 472,295.81, 651,758.54 and 257,434.00 is: 355,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,295.81 : 651,758.54 = 257,434.00 : x
  2. Step 2: Convert to fraction form
    472,295.81/651,758.54 = 257,434.00/x
  3. Step 3: Cross multiply
    472,295.81x = 651,758.54 × 257,434.00
  4. Step 4: Simplify right side
    472,295.81x = 167,784,805,069.79
  5. Step 5: Solve for x
    x = 167,784,805,069.79/472,295.81
  6. Step 6: Final answer
    x = 355,253.64

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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.