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Finding the Fourth Proportional to 472,685.52, 652,308.03 and 257,830.20

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Solution

The fourth proportional to 472,685.52, 652,308.03 and 257,830.20 is: 355,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,685.52 : 652,308.03 = 257,830.20 : x
  2. Step 2: Convert to fraction form
    472,685.52/652,308.03 = 257,830.20/x
  3. Step 3: Cross multiply
    472,685.52x = 652,308.03 × 257,830.20
  4. Step 4: Simplify right side
    472,685.52x = 168,184,709,836.51
  5. Step 5: Solve for x
    x = 168,184,709,836.51/472,685.52
  6. Step 6: Final answer
    x = 355,806.77

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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.