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Finding the Fourth Proportional to 614,728.80, 922,784.40 and 475,106.40

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Solution

The fourth proportional to 614,728.80, 922,784.40 and 475,106.40 is: 713,193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,728.80 : 922,784.40 = 475,106.40 : x
  2. Step 2: Convert to fraction form
    614,728.80/922,784.40 = 475,106.40/x
  3. Step 3: Cross multiply
    614,728.80x = 922,784.40 × 475,106.40
  4. Step 4: Simplify right side
    614,728.80x = 438,420,774,260.16
  5. Step 5: Solve for x
    x = 438,420,774,260.16/614,728.80
  6. Step 6: Final answer
    x = 713,193.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.