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Finding the Fourth Proportional to 507,541, 700,435.98 and 278,098.72

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Solution

The fourth proportional to 507,541, 700,435.98 and 278,098.72 is: 383,792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,541 : 700,435.98 = 278,098.72 : x
  2. Step 2: Convert to fraction form
    507,541/700,435.98 = 278,098.72/x
  3. Step 3: Cross multiply
    507,541x = 700,435.98 × 278,098.72
  4. Step 4: Simplify right side
    507,541x = 194,790,349,479.95
  5. Step 5: Solve for x
    x = 194,790,349,479.95/507,541
  6. Step 6: Final answer
    x = 383,792.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.