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Finding the Fourth Proportional to 653,312, 979,968 and 210,080

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Solution

The fourth proportional to 653,312, 979,968 and 210,080 is: 315,120

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,312 : 979,968 = 210,080 : x
  2. Step 2: Convert to fraction form
    653,312/979,968 = 210,080/x
  3. Step 3: Cross multiply
    653,312x = 979,968 × 210,080
  4. Step 4: Simplify right side
    653,312x = 205,871,677,440
  5. Step 5: Solve for x
    x = 205,871,677,440/653,312
  6. Step 6: Final answer
    x = 315,120

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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.