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Finding the Fourth Proportional to 385,368.80, 578,053.20 and 306,053.60

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Solution

The fourth proportional to 385,368.80, 578,053.20 and 306,053.60 is: 459,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,368.80 : 578,053.20 = 306,053.60 : x
  2. Step 2: Convert to fraction form
    385,368.80/578,053.20 = 306,053.60/x
  3. Step 3: Cross multiply
    385,368.80x = 578,053.20 × 306,053.60
  4. Step 4: Simplify right side
    385,368.80x = 176,915,262,851.52
  5. Step 5: Solve for x
    x = 176,915,262,851.52/385,368.80
  6. Step 6: Final answer
    x = 459,080.40

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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.