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Finding the Fourth Proportional to 507,476.95, 700,307.47 and 278,023.06

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Solution

The fourth proportional to 507,476.95, 700,307.47 and 278,023.06 is: 383,665.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,476.95 : 700,307.47 = 278,023.06 : x
  2. Step 2: Convert to fraction form
    507,476.95/700,307.47 = 278,023.06/x
  3. Step 3: Cross multiply
    507,476.95x = 700,307.47 × 278,023.06
  4. Step 4: Simplify right side
    507,476.95x = 194,701,625,003.56
  5. Step 5: Solve for x
    x = 194,701,625,003.56/507,476.95
  6. Step 6: Final answer
    x = 383,665.95

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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.