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Finding the Fourth Proportional to 472,325.74, 651,796.56 and 257,470

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Solution

The fourth proportional to 472,325.74, 651,796.56 and 257,470 is: 355,301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,325.74 : 651,796.56 = 257,470 : x
  2. Step 2: Convert to fraction form
    472,325.74/651,796.56 = 257,470/x
  3. Step 3: Cross multiply
    472,325.74x = 651,796.56 × 257,470
  4. Step 4: Simplify right side
    472,325.74x = 167,818,060,303.20
  5. Step 5: Solve for x
    x = 167,818,060,303.20/472,325.74
  6. Step 6: Final answer
    x = 355,301.53

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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.