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Finding the Fourth Proportional to 630,144, 869,564 and 358,174.08

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Solution

The fourth proportional to 630,144, 869,564 and 358,174.08 is: 494,260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,144 : 869,564 = 358,174.08 : x
  2. Step 2: Convert to fraction form
    630,144/869,564 = 358,174.08/x
  3. Step 3: Cross multiply
    630,144x = 869,564 × 358,174.08
  4. Step 4: Simplify right side
    630,144x = 311,455,285,701.12
  5. Step 5: Solve for x
    x = 311,455,285,701.12/630,144
  6. Step 6: Final answer
    x = 494,260.50

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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.