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Finding the Fourth Proportional to 507,482.13, 700,325.31 and 278,048.10

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Solution

The fourth proportional to 507,482.13, 700,325.31 and 278,048.10 is: 383,706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,482.13 : 700,325.31 = 278,048.10 : x
  2. Step 2: Convert to fraction form
    507,482.13/700,325.31 = 278,048.10/x
  3. Step 3: Cross multiply
    507,482.13x = 700,325.31 × 278,048.10
  4. Step 4: Simplify right side
    507,482.13x = 194,724,121,827.41
  5. Step 5: Solve for x
    x = 194,724,121,827.41/507,482.13
  6. Step 6: Final answer
    x = 383,706.36

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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.