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Finding the Fourth Proportional to 1,430,062.02, 1,973,501.82 and 785,497.32

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Solution

The fourth proportional to 1,430,062.02, 1,973,501.82 and 785,497.32 is: 1,083,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,062.02 : 1,973,501.82 = 785,497.32 : x
  2. Step 2: Convert to fraction form
    1,430,062.02/1,973,501.82 = 785,497.32/x
  3. Step 3: Cross multiply
    1,430,062.02x = 1,973,501.82 × 785,497.32
  4. Step 4: Simplify right side
    1,430,062.02x = 1,550,180,390,625.12
  5. Step 5: Solve for x
    x = 1,550,180,390,625.12/1,430,062.02
  6. Step 6: Final answer
    x = 1,083,995.22

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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.