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Finding the Fourth Proportional to 501,643.50, 692,041.95 and 297,703.01

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Solution

The fourth proportional to 501,643.50, 692,041.95 and 297,703.01 is: 410,695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,643.50 : 692,041.95 = 297,703.01 : x
  2. Step 2: Convert to fraction form
    501,643.50/692,041.95 = 297,703.01/x
  3. Step 3: Cross multiply
    501,643.50x = 692,041.95 × 297,703.01
  4. Step 4: Simplify right side
    501,643.50x = 206,022,968,101.06
  5. Step 5: Solve for x
    x = 206,022,968,101.06/501,643.50
  6. Step 6: Final answer
    x = 410,695.98

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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.