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Finding the Fourth Proportional to 472,707.70, 652,312.65 and 257,846.02

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Solution

The fourth proportional to 472,707.70, 652,312.65 and 257,846.02 is: 355,814.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,707.70 : 652,312.65 = 257,846.02 : x
  2. Step 2: Convert to fraction form
    472,707.70/652,312.65 = 257,846.02/x
  3. Step 3: Cross multiply
    472,707.70x = 652,312.65 × 257,846.02
  4. Step 4: Simplify right side
    472,707.70x = 168,196,220,598.15
  5. Step 5: Solve for x
    x = 168,196,220,598.15/472,707.70
  6. Step 6: Final answer
    x = 355,814.43

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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.