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Finding the Fourth Proportional to 360,423,038.40, 540,634,557.60 and 207,368,030.40

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Solution

The fourth proportional to 360,423,038.40, 540,634,557.60 and 207,368,030.40 is: 311,052,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,423,038.40 : 540,634,557.60 = 207,368,030.40 : x
  2. Step 2: Convert to fraction form
    360,423,038.40/540,634,557.60 = 207,368,030.40/x
  3. Step 3: Cross multiply
    360,423,038.40x = 540,634,557.60 × 207,368,030.40
  4. Step 4: Simplify right side
    360,423,038.40x = 112,110,323,375,687,360
  5. Step 5: Solve for x
    x = 112,110,323,375,687,360/360,423,038.40
  6. Step 6: Final answer
    x = 311,052,045.60

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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.