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Finding the Fourth Proportional to 384,927.60, 577,391.40 and 314,943.60

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Solution

The fourth proportional to 384,927.60, 577,391.40 and 314,943.60 is: 472,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,927.60 : 577,391.40 = 314,943.60 : x
  2. Step 2: Convert to fraction form
    384,927.60/577,391.40 = 314,943.60/x
  3. Step 3: Cross multiply
    384,927.60x = 577,391.40 × 314,943.60
  4. Step 4: Simplify right side
    384,927.60x = 181,845,726,125.04
  5. Step 5: Solve for x
    x = 181,845,726,125.04/384,927.60
  6. Step 6: Final answer
    x = 472,415.40

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1.5x scale

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.