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Finding the Fourth Proportional to 472,058.51, 651,432.48 and 257,200.12

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Solution

The fourth proportional to 472,058.51, 651,432.48 and 257,200.12 is: 354,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,058.51 : 651,432.48 = 257,200.12 : x
  2. Step 2: Convert to fraction form
    472,058.51/651,432.48 = 257,200.12/x
  3. Step 3: Cross multiply
    472,058.51x = 651,432.48 × 257,200.12
  4. Step 4: Simplify right side
    472,058.51x = 167,548,508,770.74
  5. Step 5: Solve for x
    x = 167,548,508,770.74/472,058.51
  6. Step 6: Final answer
    x = 354,931.66

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1.5x scale

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.