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Finding the Fourth Proportional to 369,312.99, 509,644.80 and 208,164.93

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Solution

The fourth proportional to 369,312.99, 509,644.80 and 208,164.93 is: 287,263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,312.99 : 509,644.80 = 208,164.93 : x
  2. Step 2: Convert to fraction form
    369,312.99/509,644.80 = 208,164.93/x
  3. Step 3: Cross multiply
    369,312.99x = 509,644.80 × 208,164.93
  4. Step 4: Simplify right side
    369,312.99x = 106,090,174,116.86
  5. Step 5: Solve for x
    x = 106,090,174,116.86/369,312.99
  6. Step 6: Final answer
    x = 287,263.59

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1.5x scale

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.