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Finding the Fourth Proportional to 644,312.64, 889,596.24 and 402,703.80

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Solution

The fourth proportional to 644,312.64, 889,596.24 and 402,703.80 is: 556,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,312.64 : 889,596.24 = 402,703.80 : x
  2. Step 2: Convert to fraction form
    644,312.64/889,596.24 = 402,703.80/x
  3. Step 3: Cross multiply
    644,312.64x = 889,596.24 × 402,703.80
  4. Step 4: Simplify right side
    644,312.64x = 358,243,786,313.71
  5. Step 5: Solve for x
    x = 358,243,786,313.71/644,312.64
  6. Step 6: Final answer
    x = 556,009.25

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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.