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Finding the Fourth Proportional to 472,129.68, 651,530.88 and 257,271.60

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Solution

The fourth proportional to 472,129.68, 651,530.88 and 257,271.60 is: 355,030.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,129.68 : 651,530.88 = 257,271.60 : x
  2. Step 2: Convert to fraction form
    472,129.68/651,530.88 = 257,271.60/x
  3. Step 3: Cross multiply
    472,129.68x = 651,530.88 × 257,271.60
  4. Step 4: Simplify right side
    472,129.68x = 167,620,391,947.01
  5. Step 5: Solve for x
    x = 167,620,391,947.01/472,129.68
  6. Step 6: Final answer
    x = 355,030.41

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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.