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Finding the Fourth Proportional to 501,507, 692,079.65 and 286,651.68

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Solution

The fourth proportional to 501,507, 692,079.65 and 286,651.68 is: 395,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,507 : 692,079.65 = 286,651.68 : x
  2. Step 2: Convert to fraction form
    501,507/692,079.65 = 286,651.68/x
  3. Step 3: Cross multiply
    501,507x = 692,079.65 × 286,651.68
  4. Step 4: Simplify right side
    501,507x = 198,385,792,933.05
  5. Step 5: Solve for x
    x = 198,385,792,933.05/501,507
  6. Step 6: Final answer
    x = 395,579.31

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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.