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Finding the Fourth Proportional to 456,191,985.80, 684,287,978.70 and 294,816,139.40

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Solution

The fourth proportional to 456,191,985.80, 684,287,978.70 and 294,816,139.40 is: 442,224,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,191,985.80 : 684,287,978.70 = 294,816,139.40 : x
  2. Step 2: Convert to fraction form
    456,191,985.80/684,287,978.70 = 294,816,139.40/x
  3. Step 3: Cross multiply
    456,191,985.80x = 684,287,978.70 × 294,816,139.40
  4. Step 4: Simplify right side
    456,191,985.80x = 201,739,140,118,163,424
  5. Step 5: Solve for x
    x = 201,739,140,118,163,424/456,191,985.80
  6. Step 6: Final answer
    x = 442,224,209.10

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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.