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Finding the Fourth Proportional to 210,970.98, 316,574.83 and 209,368.70

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Solution

The fourth proportional to 210,970.98, 316,574.83 and 209,368.70 is: 314,170.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,970.98 : 316,574.83 = 209,368.70 : x
  2. Step 2: Convert to fraction form
    210,970.98/316,574.83 = 209,368.70/x
  3. Step 3: Cross multiply
    210,970.98x = 316,574.83 × 209,368.70
  4. Step 4: Simplify right side
    210,970.98x = 66,280,860,475.81
  5. Step 5: Solve for x
    x = 66,280,860,475.81/210,970.98
  6. Step 6: Final answer
    x = 314,170.51

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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.