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Finding the Fourth Proportional to 207,870.30, 311,368.05 and 172,878.30

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Solution

The fourth proportional to 207,870.30, 311,368.05 and 172,878.30 is: 258,953.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,870.30 : 311,368.05 = 172,878.30 : x
  2. Step 2: Convert to fraction form
    207,870.30/311,368.05 = 172,878.30/x
  3. Step 3: Cross multiply
    207,870.30x = 311,368.05 × 172,878.30
  4. Step 4: Simplify right side
    207,870.30x = 53,828,779,158.32
  5. Step 5: Solve for x
    x = 53,828,779,158.32/207,870.30
  6. Step 6: Final answer
    x = 258,953.68

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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.