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Finding the Fourth Proportional to 472,178, 651,605.64 and 260,210

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Solution

The fourth proportional to 472,178, 651,605.64 and 260,210 is: 359,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,178 : 651,605.64 = 260,210 : x
  2. Step 2: Convert to fraction form
    472,178/651,605.64 = 260,210/x
  3. Step 3: Cross multiply
    472,178x = 651,605.64 × 260,210
  4. Step 4: Simplify right side
    472,178x = 169,554,303,584.40
  5. Step 5: Solve for x
    x = 169,554,303,584.40/472,178
  6. Step 6: Final answer
    x = 359,089.80

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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.